
Figure 1
Regarding the theory of coordinate determination using the planar linear-angular intersection method

Figure 2
Peculiarity of determination of coordinates by law of sines

Figure 3
The accuracy of determining the point P for S = 100 m, mS = 1 mm, mβ = 1"

Figure 4
The accuracy of determining the point P for S = 3000 m, mS = 1 mm, mβ = 1"

Figure 5
Accuracy of determining the point P for S = 300 m, mS = 0.1 mm, mβ = 1"
Table 1
The value of mP of nine characteristic points for Fig. 3
| Point | x [m] | y [m] | S1 [m] | S2 [m] | mP [mm] |
|---|---|---|---|---|---|
| b1 | 0.0 | 0.0 | S =100 m | ||
| b2 | 0.0 | 100.0 | mS = 1 mm , mβ = 1n | ||
| p1 | 0.0 | 50.0 | 50.0 | 50.0 | 1.0 |
| p2 | 50.0 | 50.0 | 70.7 | 70.7 | 1.5 |
| p3 | 100.0 | 50.0 | 111.8 | 111.8 | 2.2 |
| p4 | 100.0 | 0.0 | 141.4 | 100.0 | 2.3 |
| p5 | 0.0 | -50.0 | 150.0 | 50.0 | 1.5 |
| p6 | 0.0 | -100.0 | 200.0 | 100.0 | 2.5 |
| p7 | -100.0 | 0.0 | 141.4 | 100.0 | 2.2 |
| p8 | -100.0 | 50.0 | 111.8 | 111.8 | 2.0 |
| p9 | -50.0 | 50.0 | 70.7 | 70.7 | 1.5 |
Table 2
The value of mP of nine characteristic points for Fig. 4
| Point | x [m] | y [m] | S1 [m] | S2 [m] | mP [mm] |
|---|---|---|---|---|---|
| b1 | 0.0 | 0.0 | S = 3000 m | ||
| b2 | 0.0 | 3000.0 | mS = 1 mm, mβ = 1} | ||
| p1 | 0.0 | 1500.0 | 1500.0 | 1500.0 | 3.4 |
| p2 | 1500.0 | 1500.0 | 2120.0 | 2120.0 | 2.0 |
| p3 | 3000.0 | 1500.0 | 3354.0 | 3354.0 | 13.0 |
| p4 | 3000.0 | 0.0 | 4242.0 | 3000.0 | 14.0 |
| p5 | 0.0 | -1500.0 | 4500.0 | 1500.0 | 11.0 |
| p6 | 0.0 | -3000.0 | 6000.0 | 3000.0 | 25.0 |
| p7 | -3000.0 | 0.0 | 4242.0 | 3000.0 | 14.0 |
| p8 | -3000.0 | 1500.0 | 3354.0 | 3354.0 | 12.0 |
| p9 | -1500.0 | 1500.0 | 2120.0 | 2120.0 | 2.0 |
Table 3
The value of mP of nine characteristic points for Fig. 5
| Point | x [m] | y [m] | S1 [m] | S2 [m] | mP [mm] |
|---|---|---|---|---|---|
| b1 | 0.0 | 0.0 | S = 300 m | ||
| b2 | 0.0 | 300.0 | mS = 0.1 mm, mβ = 1n | ||
| p1 | 0.0 | 150.0 | 150.0 | 150.0 | 0.4 |
| p2 | 150.0 | 150.0 | 212.0 | 212.0 | 0.2 |
| p3 | 300.0 | 150.0 | 354.0 | 354.0 | 2.2 |
| p4 | 300.0 | 0.0 | 424.0 | 300.0 | 1.3 |
| p5 | 0.0 | -150.0 | 450.0 | 150.0 | 1.1 |
| p6 | 0.0 | -300.0 | 600.0 | 300.0 | 2.1 |
| p7 | -300.0 | 0.0 | 424.0 | 300.0 | 1.4 |
| p8 | -300.0 | 150.0 | 353.0 | 353.0 | 1.1 |
| p9 | -150.0 | 150.0 | 212.0 | 212.0 | 0.2 |
